Pls pls pls pls help e out with this

Room measure 30 feet by 24 feet, How many square yadrds carpet need?

castortr0y [4]

Answer:

Total Carpet Needed: 79.5 Sq Yrds

4 0

3 years ago

Which of the following properties is shown in the question below?

trapecia [35]

Answer:

C. Associative property of multiplication

Step-by-step explanation:

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product.

7 0

3 years ago

The graph of g(x) is a reflection and translation of ∛x see attachment, please help

svetoff [14.1K]

<h2>Hello!</h2>

The answer is: $g(x)=-\sqrt[3]{x-1}$

Let's check the roots and the shown point in the graphic (2,-1)

First,

$0=-\sqrt[3]{x-1}\\\\0^{3}=(-\sqrt[3]{x-1})^{3}\\\\0=-(x-1)\\\\x=1$

then,

$g(0)=-\sqrt[3]{0-1}\\g(0)=-(-1)\\g(0)=1\\y=1$

So, we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option

( $g(x)=-\sqrt[3]{x-1}$ )

Second,

Evaluating the function at (2,-1)

$y=-\sqrt[3]{x-1}\\-1=-\sqrt[3]{2-1}\\-1=-\sqrt[3]{1}\\-1=-(1)\\-1=-1$

-1=-1

It means that the function passes through the given point.

Hence,

The equation which represents g(x) is $g(x)=-\sqrt[3]{x-1}$

Have a nice day!

5 0

3 years ago

What do I get when I add 2+2

drek231 [11]

Answer:

22 Nah I'm kidding, it's 4

Step-by-step explanation:

This was fun

8 0

2 years ago

Read 2 more answers

The hypotenuse of a right angled triangle is 2√13 cm . If the smaller side is increased by 2 cm and the larger side is increased

White raven [17]

<em><u>Statement:</u></em>

The hypotenuse of a right angled triangle is 2√13 cm. If the smaller side is increased by 2 cm and the larger side is increased by 3 cm, the new hypotenuse will be √117 cm.

The length of the larger side of the right angled triangle.

<em><u>Solution:</u></em>

Let us consider x as the smaller side and y as the larger side.

Then, in the right angled triangle,

x² + y² = (2√13)² ...(I) [By Pythagoras Theorem]

Now, if the smaller side is increased by 2 cm, then the smaller side will be (x + 2).

And if the larger side is increased by 3 cm, then the larger side will be (y + 3).

Then, in the new right angled triangle,

(x + 2)² + (y + 3)² = (√117)² [By Pythagoras Theorem]

or, x² + 2 × 2 × x + 2² + y² + 2 × 3 × y + 3² = (√117)²

or, x² + 4x + 4 + y² + 6y + 9 = (√117)²

or, x² + y² + 4x + 6y + 13 = (√117)²

Now, put the value of x² + y² from equation (I),

or, (2√13)² + 4x + 6y + 13 = (√117)²

or, (2 × 2 × √13 × √13) + 4x + 6y + 13 = (√117 × √117)

or, 52 + 4x + 6y + 13 = 117

or, 4x + 6y = 117 - 52 - 13

or, 4x + 6y = 52

or, 4x = 52 - 6y

or, x = $\frac {(52 - 6y)}{4}$ ...(II)

Now, put the value of x of equation (II) in (I),

x² + y² = (2√13)²

or, $\frac {(2704-624y +36y²)}{16}$ + y² = 52

or, $\frac {(2704-624y +36y² + 16y²)}{16}$ = 52

or, 52y²-624y + 2704 = 52 × 16

or, 52y² - 624y + 2704 - 832 = 0

or, 52y² - 624y + 1872 = 0

or, 52(y² - 12y + 36) = 0

or, y²-12y +36 = 0 ÷ 52

or, y²-12y +36 = 0

or, (y)² - 2 × 6 × y + (6)² = 0

or, (y - 6)² = 0

or, y - 6=0

or, y = 6

We have taken y as the length of the larger side of the right angled triangle.

So, the length of the larger side is 6 cm.

<em><u>Answer:</u></em>

6 cm

Hope you could understand.

If you have any query, feel free to ask.

6 0

2 years ago